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1663323246 = 23213232910657
BaseRepresentation
bin110001100100100…
…0100110001101110
311021220211120112200
41203021010301232
511401302320441
6433014442330
756135004624
oct14311046156
94256746480
101663323246
117839a2412
123a50633a6
132067a7550
1411ac99514
159b05b7b6
hex63244c6e

1663323246 has 96 divisors (see below), whose sum is σ = 4189872960. Its totient is φ = 472614912.

The previous prime is 1663323241. The next prime is 1663323253. The reversal of 1663323246 is 6423233661.

1663323246 is a `hidden beast` number, since 16 + 633 + 2 + 3 + 2 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1663323246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663323241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150750 + ... + 161406.

It is an arithmetic number, because the mean of its divisors is an integer number (43644510).

Almost surely, 21663323246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663323246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094936480).

1663323246 is an abundant number, since it is smaller than the sum of its proper divisors (2526549714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1663323246 is a wasteful number, since it uses less digits than its factorization.

1663323246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10727 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 1663323246 is about 40783.8601164725. The cubic root of 1663323246 is about 1184.8377580582.

The spelling of 1663323246 in words is "one billion, six hundred sixty-three million, three hundred twenty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 29 39 46 58 69 78 87 117 138 174 207 234 261 299 377 414 522 598 667 754 897 1131 1334 1794 2001 2262 2691 3393 4002 5382 6003 6786 8671 10657 12006 17342 21314 26013 31971 52026 63942 78039 95913 138541 156078 191826 245111 277082 309053 415623 490222 618106 735333 831246 927159 1246869 1470666 1854318 2205999 2493738 2781477 3186443 4017689 4411998 5562954 6372886 7108219 8035378 9559329 12053067 14216438 19118658 21324657 24106134 28677987 36159201 42649314 57355974 63973971 72318402 92406847 127947942 184813694 277220541 554441082 831661623 1663323246